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Finding the Fourth Proportional to 695.98, 1,038.89 and 645.22

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Solution

The fourth proportional to 695.98, 1,038.89 and 645.22 is: 963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.98 : 1,038.89 = 645.22 : x
  2. Step 2: Convert to fraction form
    695.98/1,038.89 = 645.22/x
  3. Step 3: Cross multiply
    695.98x = 1,038.89 × 645.22
  4. Step 4: Simplify right side
    695.98x = 670,312.61
  5. Step 5: Solve for x
    x = 670,312.61/695.98
  6. Step 6: Final answer
    x = 963.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.